What is the answer to 2^{x+3}+2^{x+2}=48 ?

The answer to 2^{x+3}+2^{x+2}=48 is x=2

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2^{x+3}+2^{x+2}=48

2^{x + 3} + 2^{x + 2} = 48

x = 2

Solution steps

2^{x + 3} + 2^{x + 2} = 48

Factor

2^{x + 3} + 2^{x + 2} : 3 \cdot 2^{x + 2}

3 \cdot 2^{x + 2} = 48

Divide both sides by

3

2^{x + 2} = 16

Apply exponent rules

x + 2 = 4

Solve

x + 2 = 4 : x = 2

x = 2

2 5^{6 - 2 x} = 5

3^{x - 4} = 243

y, x = e^{- y}

2^{x + 4} (2^{x - 4} - 1) = 2^{x} - 16

What is the answer to 2^{x+3}+2^{x+2}=48 ?
The answer to 2^{x+3}+2^{x+2}=48 is x=2
Solve for x: 2^{x+3}+2^{x+2}=48
The solution is x=2